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14240020300 = 225211101128173
BaseRepresentation
bin11010100001100010…
…10111011101001100
31100202102002222112021
431100301113131030
5213130421122200
610313005015524
71012611114112
oct152061273514
940672088467
1014240020300
116048136020
122914b545a4
13145c26901c
14991315ab2
1558524541a
hex350c5774c

14240020300 has 72 divisors (see below), whose sum is σ = 34044039792. Its totient is φ = 5126880000.

The previous prime is 14240020273. The next prime is 14240020303. The reversal of 14240020300 is 302004241.

14240020300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×142400203003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14240020303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47014 + ... + 175186.

It is an arithmetic number, because the mean of its divisors is an integer number (472833886).

Almost surely, 214240020300 is an apocalyptic number.

14240020300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14240020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17022019896).

14240020300 is an abundant number, since it is smaller than the sum of its proper divisors (19804019492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14240020300 is a wasteful number, since it uses less digits than its factorization.

14240020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128299 (or 128292 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 14240020300 its reverse (302004241), we get a palindrome (14542024541).

The spelling of 14240020300 in words is "fourteen billion, two hundred forty million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 128173 256346 512692 640865 1281730 1409903 2563460 2819806 3204325 5639612 6408650 7049515 12817300 12945473 14099030 25890946 28198060 35247575 51781892 64727365 70495150 129454730 140990300 142400203 258909460 284800406 323636825 569600812 647273650 712001015 1294547300 1424002030 2848004060 3560005075 7120010150 14240020300